Quiz on Solving Rational Equations

What is the first step in solving a rational equation with fractions?

• Divide each term by the largest fraction

• Find a common denominator

• Add all fractions together

• Multiply all terms by zero

Why is it important to multiply both sides of an equation by the least common denominator?

• To eliminate the fractions

• To make the equation longer

• To add more variables

• To change the equation's solution

In the equation x - 7 over x + 2 plus 3 equals 1/4, what is the least common denominator?

• x - 7

• x + 2

• 4

• 4(x + 2)

What should you do after finding the least common denominator in a rational equation?

• Divide both sides by it

• Multiply both sides by it

• Add it to both sides

• Subtract it from both sides

When factoring denominators, what is the purpose of finding the least common denominator?

• To simplify the equation

• To make the equation more complex

• To add more terms

• To eliminate the solution

What type of equation is formed when you have an x squared term?

• Rational equation

• Cubic equation

• Quadratic equation

• Linear equation

How do you solve a quadratic equation after factoring it?

• Divide each factor by zero

• Add each factor to zero

• Multiply each factor by zero

• Set each factor to zero

What is an extraneous solution?

• A solution that simplifies the equation

• A solution that satisfies the original equation

• A solution that does not satisfy the original equation

• A solution that makes the equation longer

Why is it important to check your solutions in rational equations?

• To ensure they do not make any denominators zero

• To make the equation more complex

• To add more solutions

• To change the equation's variables

What should you do if a solution makes a denominator zero?

• Multiply it by the least common denominator

• Keep it as a valid solution

• Ignore it and move on

• Consider it an extraneous solution and discard it